536800536000 has 1344 divisors, whose sum is σ = 2074854652416. Its totient is φ = 132268032000.

The previous prime is 536800535977. The next prime is 536800536001. The reversal of 536800536000 is 635008635.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536800536001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7353431964 + ... + 7353432036.

It is an arithmetic number, because the mean of its divisors is an integer number (1543790664).

Almost surely, 2^536800536000 is an apocalyptic number.

536800536000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536800536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037427326208).

536800536000 is an abundant number, since it is smaller than the sum of its proper divisors (1538054116416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

536800536000 is a wasteful number, since it uses less digits than its factorization.

536800536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 536800536000 in words is "five hundred thirty-six billion, eight hundred million, five hundred thirty-six thousand".